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Development of the beta-pressure derivative

The proposed work provides a new definition of the pressure derivative function [that is the β-derivative
function, Δp βd(t)], which is defined as the derivative of the logarithm of pressure drop data with respect to
the logarithm of time
This formulation is based on the "power-law" concept. This is not a trivial definition, but rather a
definition that provides a unique characterization of "power-law" flow regimes which are uniquely defined
by the Δp βd(t) function [that is a constant Δp βd(t) behavior].
The Δp βd(t) function represents a new application of the traditional pressure derivative function, the
"power-law" differentiation method (that is computing the dln(Δp)/dln(t) derivative) provides an accurate
and consistent mechanism for computing the primary pressure derivative (that is the Cartesian derivative,
dΔp/dt) as well as the "Bourdet" well testing derivative [that is the "semilog" derivative,
Δpd(t)=dΔp/dln(t)]. The Cartesian and semilog derivatives can be extracted directly from the power-law
derivative (and vice-versa) using the definition given above.

Identiferoai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/4685
Date25 April 2007
CreatorsHosseinpour-Zoonozi, Nima
ContributorsBlasingame, Thomas A.
PublisherTexas A&M University
Source SetsTexas A and M University
Languageen_US
Detected LanguageEnglish
TypeBook, Thesis, Electronic Thesis, text
Format13489665 bytes, electronic, application/pdf, born digital

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